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Finding the Fourth Proportional to 2,611.60, 3,603.95 and 1,616.62

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Solution

The fourth proportional to 2,611.60, 3,603.95 and 1,616.62 is: 2,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.60 : 3,603.95 = 1,616.62 : x
  2. Step 2: Convert to fraction form
    2,611.60/3,603.95 = 1,616.62/x
  3. Step 3: Cross multiply
    2,611.60x = 3,603.95 × 1,616.62
  4. Step 4: Simplify right side
    2,611.60x = 5,826,217.65
  5. Step 5: Solve for x
    x = 5,826,217.65/2,611.60
  6. Step 6: Final answer
    x = 2,230.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.